Question 1

A force   = 12 N  
- 10 N  
Acts on an object.How much work does this force do as the object moves from the origin to the point

Accepted Answer

A)  46 J 
B)  266 J 
C)  37 J 
D)  62 J 
A)  46 J 
B)  266 J 
C)  37 J 
D)  62 J

Question 2

A 50.0-kg block is being pulled up a 16.0° slope by a force of 250 N which is parallel to the slope.The coefficient of kinetic friction between the block and the slope is 0.200.What is the magnitude of the acceleration of the block?

Accepted Answer

A)  0.528 m/s2 
B)  0.158 m/s2 
C)  0.412 m/s2 
D)  0.983 m/s2 
E)  0.260 m/s2 
A)  0.528 m/s2 
B)  0.158 m/s2 
C)  0.412 m/s2 
D)  0.983 m/s2 
E)  0.260 m/s2

Question 3

A 150-N box is being pulled horizontally in a wagon accelerating uniformly at 3.00 m/s2. The box does not move relative to the wagon,the coefficient of static friction between the box and the wagon's surface is 0.600,and the coefficient of kinetic friction is 0.400. The friction force on this box is closest to

Accepted Answer

A)  450 N. 
B)  90.0 N. 
C)  60.0 N. 
D)  45.9 N. 
A)  450 N. 
B)  90.0 N. 
C)  60.0 N. 
D)  45.9 N.

Question 4

Kieran takes off from rest down a 50 m high,10° slope on his jet-powered skis.The skis have a thrust of 280 N parallel to the surface of the slope.The combined mass of skis and Kieran is 50 kg (the fuel mass is negligible).Kieran's speed at the bottom is 40 m/s.What is the coefficient of kinetic friction of his skis on snow?

Accepted Answer

A)  0.47 
B)  0.58 
C)  0.23 
D)  0.29 
A)  0.47 
B)  0.58 
C)  0.23 
D)  0.29

Question 5

What is the angle between the vector   = +3  
- 2  
- 3  
And the +y-axis?

Accepted Answer

A)  115° 
B)  65° 
C)  25° 
D)  155° 
E)  90° 
A)  115° 
B)  65° 
C)  25° 
D)  155° 
E)  90°

Question 6

Under what condition is |   -  
| = A + B?

Accepted Answer

A)  The magnitude of vector   is zero. 
B)  Vectors   and
  are in opposite directions. 
C)  Vectors   and
  are in the same direction. 
D)  Vectors   and
  are in perpendicular directions. 
E)  The statement is never true. 
A)  The magnitude of vector   is zero. 
B)  Vectors   and
  are in opposite directions. 
C)  Vectors   and
  are in the same direction. 
D)  Vectors   and
  are in perpendicular directions. 
E)  The statement is never true.

Question 7

A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s.At the origin 0,the bomb explodes into two fragments.Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis.In the figure,the angle θ,made by the velocity vector of fragment 2 and the x-axis,is closest to

Accepted Answer

A)  31°. 
B)  37°. 
C)  38°. 
D)  53°. 
E)  59°. 
A)  31°. 
B)  37°. 
C)  38°. 
D)  53°. 
E)  59°.

Question 8

An object has a position given by   = [2.0 m + (3.00 m/s)t]  
+ [3.0 m - (2.00 m/s2)t2]  
,where all quantities are in SI units.What is the magnitude of the acceleration of the object at time t = 2.00 s?

Accepted Answer

A)  1.00 m/s2 
B)  0.00 m/s2 
C)  0.522 m/s2 
D)  4.00 m/s2 
E)  2.00 m/s2 
A)  1.00 m/s2 
B)  0.00 m/s2 
C)  0.522 m/s2 
D)  4.00 m/s2 
E)  2.00 m/s2

Question 9

Three forces are exerted on an object placed on a tilted floor.Forces are vectors.The three forces are directed as shown in the figure. If the forces have magnitudes F1 = 1.0 N,F2 = 8.0 N and F3 = 7.0 N, where N is the standard unit of force,what is the component of the net force   net =  
1 +  
2 +  
3 parallel to the floor?

Accepted Answer

A)  2.5 N 
B)  5.1 N 
C)  6.0 N 
D)  7.8 N 
A)  2.5 N 
B)  5.1 N 
C)  6.0 N 
D)  7.8 N

Question 10

If   = 3   -  + 4   and   = x  +  - 5   ,find x so   will be perpendicular to

Accepted Answer

The answer of If   = 3  ...

Question 11

The horizontal coordinates of a Frisbee
in a strong wind are given by   where x and y are in meters,and t is in seconds.
(a)What is the acceleration of the Frisbee? Give a magnitude and a direction,measuring angles from the positive x direction.
(b)What is the magnitude of the velocity at t = 2.0 s,accurate to the nearest m/s?

Accepted Answer

(a) 10 m/s

Question 12

A boy throws a rock with an initial velocity of 2.15 m/s at 30.0° above the horizontal.If air resistance is negligible,how long does it take for the rock to reach the maximum height of its trajectory?

Accepted Answer

A)  0.110 s 
B)  0.194 s 
C)  0.215 s 
D)  0.303 s 
A)  0.110 s 
B)  0.194 s 
C)  0.215 s 
D)  0.303 s

Question 13

Alice and Tom dive from an overhang into the lake below.Tom simply drops straight down from the edge,but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Just as they reach the lake below

Accepted Answer

A)  the speed of Alice is larger than that of Tom. 
B)  the splashdown speed of Alice is larger than that of Tom. 
C)  they will both have the same speed. 
D)  the speed of Tom will always be 9.8 m/s larger than that of Alice. 
E)  the speed of Alice will always be 25 m/s larger than that of Tom. 
A)  the speed of Alice is larger than that of Tom. 
B)  the splashdown speed of Alice is larger than that of Tom. 
C)  they will both have the same speed. 
D)  the speed of Tom will always be 9.8 m/s larger than that of Alice. 
E)  the speed of Alice will always be 25 m/s larger than that of Tom.

Question 14

A 1000-kg car approaches an intersection traveling north at 20.0 m/s. A 1200-kg car approaches the same intersection traveling east at 22.0 m/s. The two cars collide at the intersection and lock together. Ignoring any external forces that act on the cars during the collision,what is the velocity of the cars immediately after the collision?

Accepted Answer

A)  29.7 m/s in a direction 47.7° east of north 
B)  21.1 m/s in a direction 47.7° west of south 
C)  15.1 m/s in a direction 52.8° east of north 
D)  21.1 m/s in a direction 52.8° east of north 
E)  21.1 m/s in a direction 47.7° east of north 
A)  29.7 m/s in a direction 47.7° east of north 
B)  21.1 m/s in a direction 47.7° west of south 
C)  15.1 m/s in a direction 52.8° east of north 
D)  21.1 m/s in a direction 52.8° east of north 
E)  21.1 m/s in a direction 47.7° east of north

Question 15

A block slides down a frictionless inclined ramp.If the ramp angle is 17.0° and its length is 30.0 m,find the speed of the block as it reaches the bottom of the ramp,assuming it started sliding from rest at the top.

Accepted Answer

A)  13.1 m/s 
B)  172 m/s 
C)  9.26 m/s 
D)  24.0 m/s 
A)  13.1 m/s 
B)  172 m/s 
C)  9.26 m/s 
D)  24.0 m/s

Question 16

A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the speed of the initially stationary billiard ball after the collision?

Accepted Answer

A)  2.00 m/s 
B)  0.866 m/s 
C)  1.50 m/s 
D)  2.59 m/s 
E)  0.750 m/s 
A)  2.00 m/s 
B)  0.866 m/s 
C)  1.50 m/s 
D)  2.59 m/s 
E)  0.750 m/s

Question 17

An object has a position given by   = [2.0 m + (5.00 m/s)t]  
+ [3.0 m - (2.00 m/s2)t2]  
,where quantities are in SI units.What is the speed of the object at time t = 2.00 s?

Accepted Answer

A)  6.40 m/s 
B)  9.43 m/s 
C)  7.00 m/s 
D)  7.65 m/s 
E)  13.0 m/s 
A)  6.40 m/s 
B)  9.43 m/s 
C)  7.00 m/s 
D)  7.65 m/s 
E)  13.0 m/s

Question 18

An airplane undergoes the following displacements: First,it flies 66 km in a direction 30° east of north.Next,it flies 49 km due south.Finally,it flies 100 km 30° north of west.Using vector components,determine how far the airplane ends up from its starting point.

Accepted Answer

A)  79 km 
B)  81 km 
C)  82 km 
D)  78 km 
E)  76 km 
A)  79 km 
B)  81 km 
C)  82 km 
D)  78 km 
E)  76 km

Question 19

Jan and Len throw identical rocks off a tall building at the same time.The ground near the building is flat.Jan throws her rock straight downward.Len throws his rock downward and outward such that the angle between the initial velocity of the rock and the horizon is 30°.Len throws the rock with a speed twice that of Jan's rock.If air resistance is negligible,which rock hits the ground first?

Accepted Answer

A)  They hit at the same time. 
B)  Jan's rock hits first. 
C)  Len's rock hits first. 
D)  It is impossible to know from the information given. 
A)  They hit at the same time. 
B)  Jan's rock hits first. 
C)  Len's rock hits first. 
D)  It is impossible to know from the information given.

Question 20

Shown below are the velocity and acceleration vectors for a person in several different types of motion.In which case is the person slowing down and turning to his right?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Exam 10: Motion in a Plane

A force = 12 N - 10 N Acts on an object.How much work does this force do as the object moves from the origin to the point

A 50.0-kg block is being pulled up a 16.0° slope by a force of 250 N which is parallel to the slope.The coefficient of kinetic friction between the block and the slope is 0.200.What is the magnitude of the acceleration of the block?

What is the angle between the vector = +3 - 2 - 3 And the +y-axis?

Under what condition is | - | = A + B?

An object has a position given by = [2.0 m + (3.00 m/s)t] + [3.0 m - (2.00 m/s2)t2] ,where all quantities are in SI units.What is the magnitude of the acceleration of the object at time t = 2.00 s?

If = 3 - + 4 and = x + - 5 ,find x so will be perpendicular to

A boy throws a rock with an initial velocity of 2.15 m/s at 30.0° above the horizontal.If air resistance is negligible,how long does it take for the rock to reach the maximum height of its trajectory?

Alice and Tom dive from an overhang into the lake below.Tom simply drops straight down from the edge,but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Just as they reach the lake below

A block slides down a frictionless inclined ramp.If the ramp angle is 17.0° and its length is 30.0 m,find the speed of the block as it reaches the bottom of the ramp,assuming it started sliding from rest at the top.

A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the speed of the initially stationary billiard ball after the collision?

An object has a position given by = [2.0 m + (5.00 m/s)t] + [3.0 m - (2.00 m/s2)t2] ,where quantities are in SI units.What is the speed of the object at time t = 2.00 s?

An airplane undergoes the following displacements: First,it flies 66 km in a direction 30° east of north.Next,it flies 49 km due south.Finally,it flies 100 km 30° north of west.Using vector components,determine how far the airplane ends up from its starting point.

Shown below are the velocity and acceleration vectors for a person in several different types of motion.In which case is the person slowing down and turning to his right?

Foundations

A: Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

An object has a position given by = [2.0 m + (3.00 m/s)t] + [3.0 m - (2.00 m/s²)t²] ,where all quantities are in SI units.What is the magnitude of the acceleration of the object at time t = 2.00 s?

An object has a position given by = [2.0 m + (5.00 m/s)t] + [3.0 m - (2.00 m/s²)t²] ,where quantities are in SI units.What is the speed of the object at time t = 2.00 s?